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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Topological Radon transforms and degree formulas for dual varieties
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by Yutaka Matsui and Kiyoshi Takeuchi PDF
Proc. Amer. Math. Soc. 136 (2008), 2365-2373 Request permission

Abstract:

We give a simpler and purely topological proof of Ernström’s class formula (1997) for the degree of dual varieties. Our new proof also allows us to obtain a formula describing the degrees of the associated varieties studied by Gelfand, Kapranov and Zelevinsky (1994).
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Additional Information
  • Yutaka Matsui
  • Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo, 153-8914, Japan
  • Email: you317@ms.u-tokyo.ac.jp
  • Kiyoshi Takeuchi
  • Affiliation: Institute of Mathematics, University of Tsukuba, 1-1-1, Tennodai, Tsukuba, Ibaraki, 305-8571, Japan
  • Email: takemicro@nifty.com
  • Received by editor(s): September 13, 2005
  • Received by editor(s) in revised form: November 16, 2006, March 7, 2007, and May 7, 2007
  • Published electronically: March 11, 2008
  • Communicated by: Ted Chinburg
  • © Copyright 2008 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 2365-2373
  • MSC (2000): Primary 14B05, 14N99, 32C38, 35A27, 53A20
  • DOI: https://doi.org/10.1090/S0002-9939-08-09270-8
  • MathSciNet review: 2390503